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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 236992z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 236992.z1 | 236992z1 | \([0, -1, 0, -59953, -5665159]\) | \(-157216000/1127\) | \(-170840521628672\) | \([]\) | \(811008\) | \(1.5634\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236992z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 236992z do not have complex multiplication.Modular form 236992.2.a.z
sage: E.q_eigenform(10)